821120976 has 300 divisors, whose sum is σ = 2701800288. Its totient is φ = 240185088.

The previous prime is 821120959. The next prime is 821120987. The reversal of 821120976 is 679021128.

821120976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 821120976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5037471 + ... + 5037633.

Almost surely, 2^821120976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821120976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350900144).

821120976 is an abundant number, since it is smaller than the sum of its proper divisors (1880679312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821120976 is a wasteful number, since it uses less digits than its factorization.

821120976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 821120976 is about 28655.2085317835. The cubic root of 821120976 is about 936.4164813222.

The spelling of 821120976 in words is "eight hundred twenty-one million, one hundred twenty thousand, nine hundred seventy-six".